Social groups do not have the capability of setting different permission level for users, other than Member and Admin. If you are looking to have multiple permission Levels for a place, you might consider creating a space. This would allow you to assign different permission Levels for different users. This document provides additional details: Core Help

If you are looking to create different User groups, you can create multiple different group and add the users to the groups accordingly. This document provides more details on user groups: Core Help